Question

Express 0.07 (bar only on 7) on the form of p/q where p and q are integers and q must not be 0

Answer 1

let x =0.077777.....

x=0.07(bar)

multiply by 10

10x=0.7...(1)

multiply eq 1 by 10

100x =07.7...(2)

eq 2-1

100x-10x=07.7-0.7

90x=07

x=7/90

ans.

Answer 2

Let x be 0.077777.......

Therefore 10x = 0.7777.....

and 100x = 7.77777.....

Subtracting 10x from 100x we get

100x - 10 x = 7.777.... - 0.777.....

90x = 7

x = 7/90